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Mathematical Modeling of Vibrational Combustion

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Abstract

A new model of laminar vibrational combustion is constructed relying on a thermodynamic analysis of the combustion process. Two combustion modes, detonation and deflagration, are modeled. The nature of their origin depending on the structure of the standard chemical potential is established, and a numerical experiment concerning the onset of these combustion modes is carried out. By controlling the velocity of the passive component at the inlet, the critical value of the standard chemical potential is identified at which there appear high-frequency vibrations leading to blow-up.

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Funding

This work was supported by the Russian Foundation for Basic Research, grant no. 18-01-00524.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia

    E. V. Radkevich

  2. Turaevo Machine-building Design Bureau “Soyuz”, 140080, Lytkarino, Moscow oblast, Russia

    E. V. Radkevich & N. N. Yakovlev

  3. Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, 119991, Moscow, Russia

    N. N. Yakovlev

  4. Moscow State University of Civil Engineering (National Research University), 129337, Moscow, Russia

    O. A. Vasilieva

  5. Mendeleev University of Chemical Technology of Russia, 125047, Moscow, Russia

    O. A. Vasilieva

Authors
  1. E. V. Radkevich
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  2. N. N. Yakovlev
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  3. O. A. Vasilieva
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Corresponding authors

Correspondence to E. V. Radkevich, N. N. Yakovlev or O. A. Vasilieva.

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Translated by I. Ruzanova

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Radkevich, E.V., Yakovlev, N.N. & Vasilieva, O.A. Mathematical Modeling of Vibrational Combustion. Dokl. Math. 102, 505–509 (2020). https://doi.org/10.1134/S1064562420060162

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  • DOI: https://doi.org/10.1134/S1064562420060162

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